Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600ck |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3172608 |
Modular degree for the optimal curve |
Δ |
5.5806059528E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1310133,451195363] |
[a1,a2,a3,a4,a6] |
Generators |
[-74428:1285375:64] |
Generators of the group modulo torsion |
j |
557056/125 |
j-invariant |
L |
5.6012258841377 |
L(r)(E,1)/r! |
Ω |
0.18722127475913 |
Real period |
R |
7.4794196037449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7225f1 23120bp1 115600bx1 |
Quadratic twists by: -4 5 17 |